二维二相不规则网格的油藏数值模拟

计算物理 ›› 1991, Vol. 8 ›› Issue (3): 305-311.

二维二相不规则网格的油藏数值模拟

马峻¹, 雷光耀²

1. 新疆石油学院, 乌鲁木齐 830008;
2. 中国科学院应用数学研究所, 北京 100080

收稿日期:1990-11-26 出版日期:1991-09-25 发布日期:1991-09-25

A METHOD OF IRREGULAR DIFFERENCE MESHES FOR 2-DIMENSIONAL RESERVOIR SIMULATIONS

Ma Jun¹, Lei Guangyao²

1. Xinjiang Petroleum College, Urumqi, 830008;
2. Institute of Applied Mathematics, Academia Sinica, Beijing, 100080

Received:1990-11-26 Online:1991-09-25 Published:1991-09-25

摘要/Abstract

摘要： 本文采用不规则网格的差分方法,对平面油水模型进行了数值模拟,并用IMPES方法计算了两个实例。例1的计算结果与精确解吻合良好,比Pedrosa的局部加密网格法使用的网格数少而且计算更简便。例2为矩形网格难以计算的问题,应用本文方法也得出了较好的结果。这表明本文的不规则网格差分方法是可靠而简便的,它可以有效地应用于复杂外边界和复杂地层结构的油藏模拟问题。

关键词: 不规则差分网格, IMPES方法, 二维二相油藏数值模拟

Abstract: Using a difference method of irregular meshes, a numerical model for 2-dimensional oil-water reservoir simulations is presented and its numerical results of two examples have been given when IMPES method is adopted. The numerical results of example 1 are in good agreement with the analytic solution. The number of difference meshes used for example 1 is less than that used in Petrosa's model of hybrid grid for the same example and the method given in this paper is more efficient and convenient. It is difficult to solve the problem of example 2 for the difference mehtod of rectangular meshes. However, satisfying results are also obtained when the method given here is used for the numerical solution of the example 2. The results show that this method of irregular difference meshes can be applied flexibly to probems of reservoir simulations with a complex boundary and a complex structure of stratum.

Key words: irregular difference meshes, IMPES method, 2-dimensional 2-phase reservoir simlation

马峻, 雷光耀. 二维二相不规则网格的油藏数值模拟[J]. 计算物理, 1991, 8(3): 305-311.

Ma Jun, Lei Guangyao. A METHOD OF IRREGULAR DIFFERENCE MESHES FOR 2-DIMENSIONAL RESERVOIR SIMULATIONS[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1991, 8(3): 305-311.